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A firm has the following total and cost functions:
TR=20Q−4Q^2
TC=16−Q^2,
where Q is the number of unites produced and sold (in thousands). How many units should be produced to maximise the profit?
a.3,3333,333 units.
b.1,7141,714 units.
c.1,3331,333 units.
d.3 3333 333 units.
The demand function Q(P) and cost functions C(Q) of a company's are given by the equations:
Q=12000−60P
(Q)=10000+4Q,
where P and Q are the price and quantity, respectively.
What is the company's profit function?
a.Profit=−60P−4Q+2 000
b.Profit=−60P^2+11 760P−58 000
c.Profit=−60P^2+12 240P−58 000
d.Profit=−60P^2+12 240P+38 000
The demand function Q(P) and cost functions C(Q) of a commodity are given by the equations:
Q=12000−60P
C(Q)=10000+4Q,
where P and Q are the price and quantity, respectively.
The total revenue function TR in terms of P is
a. TR=12 000−60P.
b. TR=P(12 000−60P^2).
c. TR=12 000P−60P^2.
d. TR=12 000+60P^2.
Y = 1 /3 x^3 – x^2 – 3x + 2
Is
a. (−1, 11 / 3) is a maximum and (3,-7) is a minimum
b. (−1,0) is a maximum and (3,0) is a minimum
c. (3,0) is a maximum and (-1,0) is a minimum
d. (3,−7) is a maximum and (−1,11 / 3) is a minimum
F (x) = e^x / x
is
a. F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^4
b. F’ (x) = e^x (x -1) / x^2 – e^x (x -1) (2x) + e^x (x^4)
c. F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^2
d. F’ (x) = e^x (x^2 – 2x + 2) / x^3
F (x) = e^ (x^2 – 3x)
Is
a. e ^ x^2 - 3x / 2x – 3
b. 2x e^ x^ 2 – 3x + 3e^x^2 – 3x
c. (2x – 3) e^x^2 -3x
d. e^x^2 - 3^x
prove that f(x)= | x+1| has no tangent line at (-1 0)
Find the volume of the solid formed by the region bounded by the functions
y = 6 - 2x - x^2, y = x + 6
Using L'Hospital's Rule to determine limits to infinity
Differentiation. Find the derivative of the given function. Use quotient rule.
f(x)= (x^-1)/(x+x^-1)
